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Finding the Fourth Proportional to 4,793.92, 7,193.75 and 2,020.42

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Solution

The fourth proportional to 4,793.92, 7,193.75 and 2,020.42 is: 3,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.92 : 7,193.75 = 2,020.42 : x
  2. Step 2: Convert to fraction form
    4,793.92/7,193.75 = 2,020.42/x
  3. Step 3: Cross multiply
    4,793.92x = 7,193.75 × 2,020.42
  4. Step 4: Simplify right side
    4,793.92x = 14,534,396.38
  5. Step 5: Solve for x
    x = 14,534,396.38/4,793.92
  6. Step 6: Final answer
    x = 3,031.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.